Theorems · Theorem · real analysis
NNReal.sqrt_le_one
∀ {x : NNReal}, NNReal.sqrt x ≤ 1 ↔ x ≤ 1- Defined in
- Mathlib.Analysis.Real.Sqrt
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- NNRealstatement and proof · cited by 4,310
- OrderIsostatement · cited by 874
- NNReal.sqrtstatement and proof · cited by 91
- NNReal.sqrt_le_sqrtproof · cited by 5
- NNReal.sqrt_oneproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.